Numerical solutions for travelling combustion waves of a solid material are sought. The algorithm of computation is based on a two-sided shooting method. It is found that there is a lower bound of the wave speed c, say c*, such that for c < c* no numerical solution can be constructed. This c* is a function of the activation energy of the medium.
(Received July 11 1994)
(Revised January 1995)
1 Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montréal, Québec, Canada, H3A 2K6.